9.1 Rational Exponents

Recall  Properties of Integer Exponents Also recall  if n is odd  n th root of a if n is even & a ≥ 0  nonnegative n th root of a if n is even & a < 0  not a real number If m is an integer, n is a positive integer, and

Throughout this lesson we are going to play “Two Truths and a Lie.” It is based on the ice breaker game where you tell 3 things about yourself – 2 are true, 1 is not. We are doing it “Math Style” today! You will be asked to find a “lie” and fix it to make it a truth. Ex 1) Express in radical form & evaluate a) b)Two Truths & a Lie 123 What went wrong?

If you are asked to use your calculator & evaluate, be thoughtful about the parentheses needed. Get an error message? Maybe you need to augment how you enter it. Ex 2) Evaluate using a calculator. a) two ways to enter (–7) ^ (1 / 5) = –1.48 b) Two Truths & a Lie 123 What went wrong?

Properties of Exponents are also used in simplifying exponential expressions with variables in them. Note: The order the problem is done can vary from person to person – Do what you are comfortable with! Ex 3) Simplify each expression a) b) Two Truths & a Lie 123 What went wrong?

Formulas in real world situations often are rational expressions. Ex 4) T = time in seconds to complete 1 pendulum swing L = length of pedulum g = acceleration due to gravity ≈ 9.80 m/s 2 Determine period of pendulum on a clock that is 99.5 cm long 99.5 cm  m ≈ 2.0 sec

Homework #901 Pg 443 #1–53 odd (omit 17, 31)